A rigged Liouville space is built to give a symmetric super bra-ket formalism and spectral decompositions for both Hermitian and quasi-Hermitian Liouville operators using generalized eigenvectors.
Dieudonné, Quasi-hermitian operators, Proc
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Rigged Liouville space formulation for quasi-Hermitian Liouville operators
A rigged Liouville space is built to give a symmetric super bra-ket formalism and spectral decompositions for both Hermitian and quasi-Hermitian Liouville operators using generalized eigenvectors.